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Shape of Inner Space : String Theory and the Geometry of the Universe's...
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Ubicado en: Wallkill, New York, Estados Unidos
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N.º de artículo de eBay:256686971791
Última actualización el 03 nov 2024 13:27:07 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- ISBN
- 9780465020232
Acerca de este producto
Product Identifiers
Publisher
Basic Books
ISBN-10
0465020232
ISBN-13
9780465020232
eBay Product ID (ePID)
84566015
Product Key Features
Number of Pages
400 Pages
Publication Name
Shape of Inner Space : String Theory and the Geometry of the Universe's Hidden Dimensions
Language
English
Subject
Geometry / Non-Euclidean, General, Physics / General
Publication Year
2010
Type
Textbook
Subject Area
Mathematics, Science
Format
Hardcover
Dimensions
Item Height
1.3 in
Item Weight
21.9 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Trade
LCCN
2010-009956
Reviews
Publishers Weekly "With the help ofAstronomymagazine contributing editor Nadis, Yau relates the saga of [his] groundbreaking work which provided the foundations of string theory. Yau confidently draws readers into a realm of abstract concepts, from multiple dimensions to the exotic spaces called 'manifolds,' or Calabi-Yau spaces, whose curvature gives space its shape. From here it's a hop, skip, and a jump to the geometry of space around the Big Bang, black holes, and the end of the universe."Brian Greene, Professor of Mathematics & Physics, Columbia University; author ofThe Fabric of the CosmosandThe Elegant Universe "The Shape of Inner Spaceprovides a vibrant tour through the strange and wondrous possibility that the three spatial dimensions we see may not be the only ones that exist. Told by one of the masters of the subject, the book gives an in-depth account of one of the most exciting and controversial developments in modern theoretical physics."Joe Polchinski, Professor of Physics, University of California - Santa Barbara; author ofString Theory, Vols. 1 & 2 "Einstein's vision of physical laws emerging from the shape of space has been expanded by the higher dimensions of string theory. This vision has transformed not only modern physics, but also modern mathematics. Shing-Tung Yau has been at the center of these developments. In this ambitious book, written with experienced science writer Steve Nadis, Yau tells of his own mathematical experiences, and of the parallel efforts in string theory and in mathematics to understand the nature of space."Simon Donaldson, Royal Society Research Professor in Pure Mathematics and President of the Institute for Mathematical Science, Imperial College London "The Shape of Inner Spacehas a distinctive style: in part autobiography, in part an account of developments in geometric analysis and string theory over the past 40 years, and comments on future directions. It gives a unique insight into the thoughts of one of the most important and influential mathematicians of our times."Edward Witten, Professor, Institute for Advanced Study "Shing-Tung Yau and Steve Nadis take the reader on a fascinating tour of many contemporary topics in geometry and physics. Readers will find many challenging ideas to explore in this book, and even specialists will enjoy Yau's reminiscences about his education and work."Steven Strogatz,New York TimesOpinionator contributor and professor of mathematics, Cornell University "A fascinating first-hand account of how the math underlying string theory was discovered. Fields medalist Yau and ace science writer Nadis have teamed up to show the rest of us the deep geometry that just might lie at the heart of the universe. It'll twist you into knots of pleasure!"John Coates, Sadleirian Professor of Pure Mathematics, University of Cambridge "This remarkable book by Shing-Tung Yau and Steve Nadis gives the layman a remarkable glimpse into the mysterious inner world of one of the most beautiful and important parts of mathematics.", Philippine Daily Inquirer "A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds." College Mathematics Journal "A worthy successor to The Elegant Universe ." Philippine Daily Inquirer "A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds." The Mathematical Intelligencer "What makes this book unique is that Yau has a deep insight not only into the mathematics but also into the physics governing our universe, and he uses this knowledge to build a bridge between both worlds., Publishers Weekly"With the help ofAstronomymagazine contributing editor Nadis, Yau relates the saga of [his] groundbreaking work which provided the foundations of string theory. Yau confidently draws readers into a realm of abstract concepts, from multiple dimensions to the exotic spaces called 'manifolds,' or Calabi-Yau spaces, whose curvature gives space its shape. From here it's a hop, skip, and a jump to the geometry of space around the Big Bang, black holes, and the end of the universe.", AUTHORS' STATEMENT by SHING-TUNG YAU and STEVE NADIS There is a certain irony running through this book that one of the smallest things you can possibly imagine--six-dimensional geometric spaces that may be more than a trillion times smaller than an electron--could, nevertheless, be one of the defining features of our universe, exerting a profound influence that extends to every single point in the cosmos. This book is, in many ways, the story of those spaces, which physicists have dubbed "Calabi-Yau manifolds." It tells how one of us, Yau, managed to prove the existence, mathematically, of those spaces, despite the fact that he had originally set out to prove that such spaces could not possibly exist. It then goes on to explain how this mathematical proof, which had initially been ignored by physicists (partly because it was steeped in difficult, nonlinear arguments), nevertheless made its way into the center of string theory, which now stands as the leading theory of the universe and our best hope yet of unifying all the particles and forces observed--and yet to be observed--in nature. Of course, none of this could have been foretold more than a half century ago when a man named Eugenio Calabi--the first half of the Calabi-Yau duo--proposed that there could be multidimensional spaces with properties so special that many mathematicians, including one of this book's authors, considered them "too good to be true." Calabi had not been thinking about physics at the time, in the early 1950s, when he advanced the famous conjecture named after him. Following the proof of the Calabi conjecture, we have learned many new and wonderful things in both physics and mathematics--all of which suggest that Calabi-Yau spaces are not only too good to be true, as the skeptics used to say, but that they may be even better. Publishers Weekly "With the help ofAstronomymagazine contributing editor Nadis, Yau relates the saga of [his] groundbreaking work which provided the foundations of string theory. Yau confidently draws readers into a realm of abstract concepts, from multiple dimensions to the exotic spaces called 'manifolds,' or Calabi-Yau spaces, whose curvature gives space its shape. From here it's a hop, skip, and a jump to the geometry of space around the Big Bang, black holes, and the end of the universe."Brian Greene, Professor of Mathematics & Physics, Columbia University; author ofThe Fabric of the CosmosandThe Elegant Universe "The Shape of Inner Spaceprovides a vibrant tour through the strange and wondrous possibility that the three spatial dimensions we see may not be the only ones that exist. Told by one of the masters of the subject, the book gives an in-depth account of one of the most exciting and controversial developments in modern theoretical physics."Joe Polchinski, Professor of Physics, University of California - Santa Barbara; author ofString Theory, Vols. 1 & 2 "Einstein's vision of physical laws emerging from the shape of space has been expanded by the higher dimensions of string theory. This vision has transformed not only modern physics, but also modern mathematics. Shing-Tung Yau has been at the center of these developments. In this ambitious book, written with experienced science writer Steve Nadis, Yau tells of his own mathematical experiences, and of the parallel efforts in string theory and in mathematics to understand the nature of space."Simon Donaldson, Royal Society Research Professor in Pure Mathematics and President of the Institute for Mathematical Science, Imperial College London "The Shape of Inner Spacehas a distinctive st, Philippine Daily Inquirer "A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds.", Philippine Daily Inquirer "A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds." College Mathematics Journal "A worthy successor to The Elegant Universe ." Philippine Daily Inquirer "A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds.", Philippine Daily Inquirer "A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds." College Mathematics Journal "A worthy successor to The Elegant Universe ." Philippine Daily Inquirer "A journey into the mind of a brilliant mathematician, The Shape of Inner Space will delight readers who are not afraid to use their minds." The Mathematical Intelligencer "What makes this book unique is that Yau has a deep insight not only into the mathematics but also into the physics governing our universe, and he uses this knowledge to build a bridge between both worlds.", AUTHORS' STATEMENT by SHING-TUNG YAU and STEVE NADIS There is a certain irony running through this book that one of the smallest things you can possibly imagine--six-dimensional geometric spaces that may be more than a trillion times smaller than an electron--could, nevertheless, be one of the defining features of our universe, exerting a profound influence that extends to every single point in the cosmos. This book is, in many ways, the story of those spaces, which physicists have dubbed "Calabi-Yau manifolds." It tells how one of us, Yau, managed to prove the existence, mathematically, of those spaces, despite the fact that he had originally set out to prove that such spaces could not possibly exist. It then goes on to explain how this mathematical proof, which had initially been ignored by physicists (partly because it was steeped in difficult, nonlinear arguments), nevertheless made its way into the center of string theory, which now stands as the leading theory of the universe and our best hope yet of unifying all the particles and forces observed--and yet to be observed--in nature. Of course, none of this could have been foretold more than a half century ago when a man named Eugenio Calabi--the first half of the Calabi-Yau duo--proposed that there could be multidimensional spaces with properties so special that many mathematicians, including one of this book's authors, considered them "too good to be true." Calabi had not been thinking about physics at the time, in the early 1950s, when he advanced the famous conjecture named after him. Following the proof of the Calabi conjecture, we have learned many new and wonderful things in both physics and mathematics--all of which suggest that Calabi-Yau spaces are not only too good to be true, as the skeptics used to say, but that they may be even better.
Dewey Edition
22
TitleLeading
The
Grade From
College Freshman
Dewey Decimal
530.1
Synopsis
What if you were told that we actually live in a 10-dimensional universe-that the leading theory of nature posits only 4 out of 10 are accessible to our everyday senses? How do we account for the other 6 dimensions? What do they look like, where are they hiding, and what, if anything at all, do they do? In The Shape of Inner Space , geometer and leading string theorist Shing-Tung Yau unpacks the widely-held belief that these undetected dimensions are tightly curled in elaborate, twisted shapes called "Calabi-Yau manifolds." Yau explains that these spaces are so miniscule that humans will probably never see any of them directly. Amazingly, however, this hidden realm may hold the answers to some of the most profound questions we have about our universe., String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space , Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales., String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In 'The Shape of Inner Space', Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, 'The Shape of Inner Space' will change the way we consider the universe on both its grandest and smallest scales.
LC Classification Number
QA691.Y38 2010
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